UNIQUE ID: test/intermediate_algebra/1000.json PROMPT: <|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Answer the following math problem. Please reason step by step, and put your final answer within \boxed{}. Let $a$ be a positive real number such that all the roots of \[x^3 + ax^2 + ax + 1 = 0\]are real. Find the smallest possible value of $a.$<|im_end|> <|im_start|>assistant ANSWER: 3
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